Abstract.
We present a generalized telecloning (GTC) protocol where the quantum channel is non-optimally entangled and we study how the fidelity of the telecloned states depends on the entanglement of the channel. We show that one can increase the fidelity of the telecloned states, achieving the optimal value in some situations, by properly choosing the measurement basis at Alice's, albeit turning the protocol to a probabilistic one. We also show how one can convert the GTC protocol to the teleportation protocol via proper unitary operations.
Similar content being viewed by others
References
C.H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, W.K. Wootters, Phys. Rev. Lett. 70, 1895 (1993)
D. Bouwmeester, J.W. Pan, K. Mattle, M. Eibi, H. Weinfurter, A. Zeilinger, Nature 390, 575 (1997)
D. Boschi, S. Branca, F. DeMartini, L. Hardy, S. Popescu, Phys. Rev. Lett. 80, 1121 (1998)
A.M. Lance, T. Symul, W.P. Bowen, B.C. Sanders, P.K. Lam, Phys. Rev. Lett. 92, 177903 (2004)
M. Hillary, V. Buzek, A. Berthiaume, Phys. Rev. A 59, 1829 (1999)
A. Karlsson, M. Koashi, N. Imoto, Phys. Rev. A 59, 162 (1999)
W. Tittel, H. Zbinden, N. Gisin, Phys. Rev. A 63, 042301 (2001)
M. Murao, D. Jonathan, M.B. Plenio, V. Vedral, Phys. Rev. A 59, 156 (1999)
W.K. Wootters, W.H. Zurek, Nature 299, 802 (1982)
N. Gisin, S. Massar, Phys. Rev. Lett. 79, 2153 (1997)
N.J. Cerf, A. Ipe, X. Rottenberg, Phys. Rev. Lett. 85, 1754 (2000)
S. Koike, H. Takahashi, H. Yonezawa, N. Takei, S.L. Braunstein, T. Aoki, A. Furusawa, Phys. Rev. Lett. 96, 060504 (2006)
J.I. Cirac, P. Zoller, H.J. Kimble, H. Mabuchi, Phys. Rev. Lett. 78, 3221 (1997)
R. Cleve, D. Gottesman, H.K. Lo, Phys. Rev. Lett. 83, 648 (1999)
C.H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J.A. Smolin, W.K. Wootters, Phys. Rev. Lett. 76, 722 (1996)
G. Gordon, G. Kurizki, A.G. Kofman, Opt. Comm. 264, 398 (2006)
G. Gordon, G. Kurizki, Phys. Rev. Lett. 97, 110503 (2006)
G. Gordon, G. Rigolin, Phys. Rev. A 73, 042309 (2006)
P. Agrawal, A.K. Pati, Phys. Lett. A 305, 12 (2002)
G. Gordon, G. Rigolin, Phys. Rev. A 73, 062316 (2006)
W.L. Li, C.F. Li, G.C. Guo, Phys. Rev. A 61, 034301 (2000)
M. Koniorczyk, V. Bužek, Phys. Rev. A 71, 032331 (2005)
Z. Kurucz, P. Adam, J. Janszky, Phys. Rev. A 73, 062301 (2006)
I. Ghiu, Phys. Rev. A 67, 012323 (2003)
D.A. Meyer, N.R. Wallach, J. Math. Phys. 43, 4273 (2002)
G. Rigolin, T.R. Oliveira, M.C. Oliveira, Phys. Rev. A 74, 022314 (2006)
W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998)
H. Kim, Y.W. Cheong, H.W. Lee, Phys. Rev. A 70, 012309 (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gordon, G., Rigolin, G. Generalized quantum telecloning. Eur. Phys. J. D 45, 347–353 (2007). https://doi.org/10.1140/epjd/e2007-00256-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2007-00256-8